PowerPoint to accompany Introduction to MATLAB for Engineers Third Edition William J. Palm III Chapter 11 MuPAD Copyright The McGraw-Hill Companies, Inc. This work is only for nonprofit use by instructors

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PowerPoint to accompany Introduction to MATLAB for Engineers Third Edition William J. Palm III Chapter 11 MuPAD Copyright The McGraw-Hill Companies, Inc. This work is only for nonprofit use by instructors in courses for which this textbook has been adopted. Any other use without publisher s consent is unlawful. 11-2 What can you do with MuPAD? Create symbolic expressions and manipulate them algebraically. Obtain symbolic and numeric solutions to algebraic and transcendental equations. Perform symbolic linear algebra operations, including obtaining expressions for determinants, matrix inverses, eigenvectors, and eigenvalues. Perform symbolic differentiation and integration. Evaluate limits and series symbolically. Obtain symbolic solutions to ordinary differential equations. Obtain and apply Laplace transforms. Solve ordinary differential equations in terms of special functions or series. To start MuPAD, first start MATLAB, then type mupadwelcome. You will then see the Welcome Screen shown on the next slide. If you just type mupad instead, you will immediately be presented with a blank notebook. 11-3 11-4 The MuPAD welcome screen. Figure on page 467 If you then click on Getting Started, you will see what is on the next slide. Or you can click on Notebook Interface to bring up the Notebook Interface Help screen shown on slide Or you can retrieve a previously created notebook by clicking on its name under Open Recent File. 11-5 11-6 The Getting Started screen. Figure on page 467. 11-7 The Notebook Interface Help screen. Figure on page 468. 11-8 The Notebook Interface shown on the next slide shows text, input, and output regions, with the code required to create a plot. 11-9 An example of the Notebook Interface. Figure on page 473. 11-10 The Standard toolbar. Figure on page 469. 11-11 The Command bar. Figure on page 474. 11-12 Entering Commands (page 470). The General Math Menu. Page 475. The General Math Menu Expand Simplify Factor Combine Normalize Rewrite Evaluate Solve 11-13 Table Items on the Command bar. Page 475. Derivatives Limits Sums Integrals Rewrite Expressions Products Solve Equations Simplify Evaluate with x = a Numerical Evaluation and Rounding Equality Tests Assignment Math Operators Factorials Function Definition Trig Functions Exponentials and Logs Piecewise Definitions Reserved Symbols Greek Letters Physical Units Matrices and Vectors 2D Plot 3D Plot 11-14 The Simplify Menu. Page 476. General Logical Radical Relational Exponential Logarithm Sine Cosine 11-15 The Combine Menu. Page 477. General Arc Tangent Exponential Logarithm Power Sine/Cosine Sine/Cosine Hyp Square Root 11-16 The Rewrite Menu. Page 478. Differential Exponential Factorial Gamma Heaviside Logarithm Sign Sine/Cosine 11-17 The Solve Menu. Page 481. Exact Numeric Linear System Polynomial Diophantine Equation Recurrences ODE 11-18 Table Special function calls in MuPAD. Page 512. Name and Symbol Function Call Airy, Ai(x) airy Ai(x) Airy, Bi(x) airy Bi(x) Chebyshev of first kind, T(n, x) chebyshev1 (n, x) Gamma, (x) gamma(x) Hermite, Hn(x) hermite (n,x) Bessel I, In(x) besseli(n,x) Bessel J, Jn(x) besselj(n,x) Bessel K, Kn(x) besselk(n,x) Bessel Y, Yn(x) bessely (n,x) Laguerre, L(n, a, x) laguerrel(n,a,x) Legendre, Pn(x) legendre(n,x) 11-19 Table Evaluation of special functions in MuPAD Result Symbolic finite series Symbolic infinite series Numeric result Code orthpoly:: series float 11-20 11-21 The following slides are figures from the examples and the homework problems. 11-22 Figure for Example on page 484. Intersection points of two circles. 11-23 Figure for Example on page 486. A robot arm having two joints and two links. Figure for Example on pages A baseball trajectory to clear the Green Monster Figure on page 510. Two mechanical systems, one with and one without an input derivative Figure on page Figure P12 for Problem 12 on pages 11-28 Figure P13 for Problem 13 on pages 11-29 Figure P13 for Problem 13 on page 519. 11-30 Figure P28 for Problem 28 on page 520. Figure P29 for Problem 29 on pages

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